Solved Exercises in Fractional Calculus

✍ Scribed by Edmundo Capelas de Oliveira

Publisher: Springer International Publishing
Year: 2019
Tongue: English
Leaves: 330
Series: Studies in Systems, Decision and Control 240
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary exercises. The last chapter presents several applications of fractional calculus.

✦ Table of Contents

Front Matter ....Pages i-xviii
A Bit of History (Edmundo Capelas de Oliveira)....Pages 1-15
Special Functions (Edmundo Capelas de Oliveira)....Pages 17-67
Mittag-Leffler Functions (Edmundo Capelas de Oliveira)....Pages 69-113
Integral Transforms (Edmundo Capelas de Oliveira)....Pages 115-167
Fractional Derivatives (Edmundo Capelas de Oliveira)....Pages 169-222
Applications and Add-ons (Edmundo Capelas de Oliveira)....Pages 223-307
Back Matter ....Pages 309-321

✦ Subjects

Engineering; Mathematical and Computational Engineering; Integral Transforms, Operational Calculus; Calculus

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